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Finding the Fourth Proportional to 3,764.07, 5,646.92 and 1,813.59

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Solution

The fourth proportional to 3,764.07, 5,646.92 and 1,813.59 is: 2,720.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.07 : 5,646.92 = 1,813.59 : x
  2. Step 2: Convert to fraction form
    3,764.07/5,646.92 = 1,813.59/x
  3. Step 3: Cross multiply
    3,764.07x = 5,646.92 × 1,813.59
  4. Step 4: Simplify right side
    3,764.07x = 10,241,188.57
  5. Step 5: Solve for x
    x = 10,241,188.57/3,764.07
  6. Step 6: Final answer
    x = 2,720.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.